Tell which of the statements below are true: 1. It f(c)=U, thén f(x) has å maximum or mini f(x)=g'(x) for all x in an interval I, then f(x)=g(x) on I. 3. If f(x) is differentiable on the open interval (a, b), and c is a point of local maximum for f in (a,b), then f(c)=0. (a) 2 (b) 3 (c) None (d) 1 (e) 1 and 2

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Tell which of the statements below are true: 1. It f(c)=U, thén f(x) has å maximum or mini
f(x)=g'(x) for all x in an interval I, then f(x)=g(x) on I. 3. If f(x) is differentiable on the open interval (a, b), and c is a point
of local maximum for f in (a,b), then f(c)=0.
(a) 2
(b) 3
(c) None
(d) 1
(e) 1 and 2
Transcribed Image Text:Tell which of the statements below are true: 1. It f(c)=U, thén f(x) has å maximum or mini f(x)=g'(x) for all x in an interval I, then f(x)=g(x) on I. 3. If f(x) is differentiable on the open interval (a, b), and c is a point of local maximum for f in (a,b), then f(c)=0. (a) 2 (b) 3 (c) None (d) 1 (e) 1 and 2
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